Sankhya: The Indian Journal of Statistics
1996, Volume 58, Series A, Pt. 3, pp. 440--463
MODIFIED KOLMOGOROV-SMIRNOV TESTS FOR ISOTROPIC DISTRIBUTIONS IN THE PLANE
E. M. CABAÑA, Universidad de la República
SUMMARY. A test of the Kolmogorov-Smirnov type for goodness to fit to isotropic distributions in the plane is proposed. The test is consistent under any alternative, and can be designed to have a good power for the discrimination of a given family of contiguous alternatives (such as changes in location, for instance). Lower estimates are provided, under very general conditions, for the asymptotic relative efficiency of the test with respect to the Likelihood Ratio Test.
AMS (1991) subject classification. 62G10, 60J65, 62G20, 60B10, 62G30.
Key words and phrases. Goodness of fit, bivariate Kolmogorov-Smirnov tests, isotropic distributions.
Full paper (PDF)
This article in Mathematical Reviews.